Solve 345667div26

$$345667 \div 26$$

Evaluate

$$\frac{345667}{26}\approx 13294.884615385$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 345667

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)345667}\\\end{array}$$

Since 3 is less than 26, use the next digit 4 from dividend 345667 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)345667}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 345667

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)345667}\\\end{array}$$

Find closest multiple of 26 to 34. We see that 1 \times 26 = 26 is the nearest. Now subtract 26 from 34 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{26)}01\phantom{4}\\26\overline{)345667}\\\phantom{26)}\underline{\phantom{}26\phantom{9999}}\\\phantom{26)9}8\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 345667

$$\begin{array}{l}\phantom{26)}01\phantom{5}\\26\overline{)345667}\\\phantom{26)}\underline{\phantom{}26\phantom{9999}}\\\phantom{26)9}85\\\end{array}$$

Find closest multiple of 26 to 85. We see that 3 \times 26 = 78 is the nearest. Now subtract 78 from 85 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{26)}013\phantom{6}\\26\overline{)345667}\\\phantom{26)}\underline{\phantom{}26\phantom{9999}}\\\phantom{26)9}85\\\phantom{26)}\underline{\phantom{9}78\phantom{999}}\\\phantom{26)99}7\\\end{array}$$

Use the 4^{th} digit 6 from dividend 345667

$$\begin{array}{l}\phantom{26)}013\phantom{7}\\26\overline{)345667}\\\phantom{26)}\underline{\phantom{}26\phantom{9999}}\\\phantom{26)9}85\\\phantom{26)}\underline{\phantom{9}78\phantom{999}}\\\phantom{26)99}76\\\end{array}$$

Find closest multiple of 26 to 76. We see that 2 \times 26 = 52 is the nearest. Now subtract 52 from 76 to get reminder 24. Add 2 to quotient.

$$\begin{array}{l}\phantom{26)}0132\phantom{8}\\26\overline{)345667}\\\phantom{26)}\underline{\phantom{}26\phantom{9999}}\\\phantom{26)9}85\\\phantom{26)}\underline{\phantom{9}78\phantom{999}}\\\phantom{26)99}76\\\phantom{26)}\underline{\phantom{99}52\phantom{99}}\\\phantom{26)99}24\\\end{array}$$

Use the 5^{th} digit 6 from dividend 345667

$$\begin{array}{l}\phantom{26)}0132\phantom{9}\\26\overline{)345667}\\\phantom{26)}\underline{\phantom{}26\phantom{9999}}\\\phantom{26)9}85\\\phantom{26)}\underline{\phantom{9}78\phantom{999}}\\\phantom{26)99}76\\\phantom{26)}\underline{\phantom{99}52\phantom{99}}\\\phantom{26)99}246\\\end{array}$$

Find closest multiple of 26 to 246. We see that 9 \times 26 = 234 is the nearest. Now subtract 234 from 246 to get reminder 12. Add 9 to quotient.

$$\begin{array}{l}\phantom{26)}01329\phantom{10}\\26\overline{)345667}\\\phantom{26)}\underline{\phantom{}26\phantom{9999}}\\\phantom{26)9}85\\\phantom{26)}\underline{\phantom{9}78\phantom{999}}\\\phantom{26)99}76\\\phantom{26)}\underline{\phantom{99}52\phantom{99}}\\\phantom{26)99}246\\\phantom{26)}\underline{\phantom{99}234\phantom{9}}\\\phantom{26)999}12\\\end{array}$$

Use the 6^{th} digit 7 from dividend 345667

$$\begin{array}{l}\phantom{26)}01329\phantom{11}\\26\overline{)345667}\\\phantom{26)}\underline{\phantom{}26\phantom{9999}}\\\phantom{26)9}85\\\phantom{26)}\underline{\phantom{9}78\phantom{999}}\\\phantom{26)99}76\\\phantom{26)}\underline{\phantom{99}52\phantom{99}}\\\phantom{26)99}246\\\phantom{26)}\underline{\phantom{99}234\phantom{9}}\\\phantom{26)999}127\\\end{array}$$

Find closest multiple of 26 to 127. We see that 4 \times 26 = 104 is the nearest. Now subtract 104 from 127 to get reminder 23. Add 4 to quotient.

$$\begin{array}{l}\phantom{26)}013294\phantom{12}\\26\overline{)345667}\\\phantom{26)}\underline{\phantom{}26\phantom{9999}}\\\phantom{26)9}85\\\phantom{26)}\underline{\phantom{9}78\phantom{999}}\\\phantom{26)99}76\\\phantom{26)}\underline{\phantom{99}52\phantom{99}}\\\phantom{26)99}246\\\phantom{26)}\underline{\phantom{99}234\phantom{9}}\\\phantom{26)999}127\\\phantom{26)}\underline{\phantom{999}104\phantom{}}\\\phantom{26)9999}23\\\end{array}$$

Since 23 is less than 26, stop the division. The reminder is 23. The topmost line 013294 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13294.

$$\text{Quotient: }13294 \text{Reminder: }23$$

Factor

$$\frac{7 \cdot 19 \cdot 23 \cdot 113}{2 \cdot 13} = 13294\frac{23}{26} = 13294.884615384615$$